1006051254 has 96 divisors (see below), whose sum is σ = 2326003200. Its totient is φ = 289111680.

The previous prime is 1006051169. The next prime is 1006051259. The reversal of 1006051254 is 4521506001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006051259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1521684 + ... + 1522344.

It is an arithmetic number, because the mean of its divisors is an integer number (24229200).

Almost surely, 2^1006051254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006051254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163001600).

1006051254 is an abundant number, since it is smaller than the sum of its proper divisors (1319951946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006051254 is a wasteful number, since it uses less digits than its factorization.

1006051254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1006051254 is about 31718.3110206076. The cubic root of 1006051254 is about 1002.0130296591.

Adding to 1006051254 its reverse (4521506001), we get a palindrome (5527557255).

It can be divided in two parts, 100605 and 1254, that multiplied together give a triangular number (126158670 = T₁₅₈₈₄).

The spelling of 1006051254 in words is "one billion, six million, fifty-one thousand, two hundred fifty-four".